Answer:
The sequence diverges.
Step-by-step explanation:
A sequence [tex]a_{n}[/tex] converges when [tex]\lim_{n \rightarrow \infty} a_{n}[/tex] is a real number.
In this question, the sequence given is:
[tex]a_{n} = 4n\cos{(7n\pi)}[/tex]
The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: [tex]a_{n} = 4n[/tex]. So
[tex]\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} 4n = \infty[/tex]
Since the limit is not a real number, the sequence diverges.
Is 0.456 greater than or less than 0.5
Answer:
0.456 is less than 0.5
Step-by-step explanation:
Find the general solution of
dy/dx + 2y =6
Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
Does anyone know the answer to this question??
Mr Binnix wife is older than her sister by 2 years if their ages add up to 52 how old is each sister? Let c represent Leigh Ann’s age and let y represent Larisa s age
Answer:
the older sister is 27 and the younger is 25.
Step-by-step explanation:
C+2=Y
C+Y=52
2C+2=52
2C=50
C=25
25+2=Y
Y=27
What is 1/5 expressed as a percent?
Part A
At the market, Meyer buys a bunch of bananas for $0.50 per pound and a frozen pizza for $6. The total for his purchase was $8.50.
Which equation can be used to determine how many pounds p of bananas Meyer bought?
A) 0.5p - 6 = 8.50
OB) 0.5p + 6 = 8.50
O C) 6p - 0.5 = 8.50
OD) 6p + 0.5 = 8.50
Answer:
B) 0.5p + 6 = 8.50
Step-by-step explanation:
If bananas cost $0.50 per pound, you would have to multiply that by how many pounds Meyer bought, or p. When you found how many bananas Meyer bought, you would have to add the money for the frozen pizza ($6) That will give you a total of $8.50.
Answer:
5 pounds
Step-by-step explanation:
First, we need to find the value of 0.5p so our equation is:
8.5 - 6 = 2.5
Then we need to find the value of p in that 2.5, so our equation is:
2.5 ÷ 0.5 = 5
So Meyer bought 5 pounds of bananas
(5,3) reflected across the x axis and then across the y axis
Answer: (-5,-3)
Step-by-step explanation:
Answer:
X-axis: (5, -3)
Y-axis: (-5, 3)
Step-by-step explanation:
The spinner below is spun twice. Make a table and calculate the probability of getting green twice.
Answer:
1/9
Step-by-step explanation:
3 out comes
green black purple spin twice
3*3=9 total outcome
1/9
The quotient of 56 and n is multiplied by 3.
Create an equivalent expression using n to represent the unknown number.
Answer:
Equivalent expression using n to represent the unknown number is: [tex]\mathbf{(\frac{56}{n})\times 3\\}[/tex]
Step-by-step explanation:
The quotient of 56 and n is multiplied by 3.
Create an equivalent expression using n to represent the unknown number.
We need to write equivalent expression of The quotient of 56 and n is multiplied by 3.
We will do this step by step
First we will find:
The quotient of 56 and n
It can be written in mathematical form is: [tex]\frac{56}{n}\\[/tex]
Now, we will find
The quotient of 56 and n is multiplied by 3.
It can be written in mathematical form as: [tex](\frac{56}{n})\times 3\\[/tex]
So, equivalent expression using n to represent the unknown number is: [tex]\mathbf{(\frac{56}{n})\times 3\\}[/tex]
Scale factor: 2:1
10 in
5 in
13 in
Scale drawing
Object
A. Side a is 26 inches long, side bis 20 inches long, and side cis 10
inches long
B. Side a is 15 inches long, side bis 12 inches long, and side cis 7
inches long
C. Side a is 11 inches long, side bis 8 inches long, and side cis 3
inches long
D. Side ais 2.5 inches long, side bis 5 inches long, and side cis 6.5
inches long
Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Step-by-step explanation:
Scale factor for drawing = 2:1
Dimensions of drawing : 10 in, 5 in, 13 in
Dimension of object = Scale factor x Dimension of drawing
Sides of object:
2 x 10 in =20 in [b]
2 x 5 in = 10 in [c]
2 x 13 in = 26 in. [a]
Hence, the correct option is
A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Answer:
Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.
Step-by-step explanation:
What is the product?
4927 x 7
Answer:
34489
Step-by-step explanation:
How do you find area of a trapezoid I will mark brainliest for the most explained and simple answer!!!!
Answer:
A = ((a+b)/2)h
Step-by-step explanation:
a and b are base (the top and bottom)
h is height
Write an equation for the line (y = mx + b)
Write a sentence explaining a real-life situation that this line could represent. (Make sure you use the word ascending in your sentence.)
How many meals would be packed in 20 hours?
Answer:
y = 125x2500 meal packs in 20 hoursStep-by-step explanation:
As per attached graph, there is proportional relationship with the formula:
y = 125xWe can easily find it using points (0, 0) and (2, 250)
m = 250/2 = 125The situation would be:
Team of volunteers help to pack meals for charity. They can pack 125 meals in an hour. How many meals would be packed in 20 hours?
125*20 = 2500 meal packs1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
What’s 36 x 99? I don’t know, do you?
Answer:
3564
Step-by-step explanation:
calculator, dude.
Answer:
Its 3,464 *smh
If you had 99 barrels of oil, then multiplied it why 36, how much would u have?
Answer - 3,464
A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 50. What is the probability that the candidate score is 600 or greater
Answer:
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Step-by-step explanation:
Step(i):-
Given mean of the Population = 500
Given standard deviation of the Population = 50
Let 'X' be the random variable in normal distribution
Given X = 600
[tex]Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2[/tex]
Step(ii):-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = P(z≥2)
= 0.5 - A(2)
= 0.5 -0.4772
= 0.0228
Final answer:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
AS ALWAYS, DUE TODAY!!! WILL GIVE EVERYTHING GOOD!!! NOTE: I NEED THE COORDINATES!!! I STILL NEED HELP WITH THIS!!!
Answer:
(2, 5)
Step-by-step explanation:
what is the slope intercept form of the equation of the line?
Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, 2)(3, 4)(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
savings account
deposit: $800
rate: 6% per year
time: 2 years
Answer:
896
Step-by-step explanation:
1. find 12% (because the time is 2 years) of 800 (94)
2. 96 + 800 = 896
3. answer is 896
Tina collects stuffed animals. She has 8 teddy bears, 9 dogs, 10 frogs, and 6 monkeys. What is the ratio of monkeys to teddy
bears?
A. 3:7
B. 3:4
O C. 8:6
O D. 7:4
Plssss help ASAP giving away lost of branlist
Answer:
it's c
Step-by-step explanation:
there are 8 bears and 6 monkeys!
hope this helps:)
HELP , I’ll MArK bRAINLIESt
Answer:
you need to work on your capitalization.
Step-by-step explanation:
no offense.
Find the measure of angle DEF
Answer:
31.8
Step-by-step explanation:
90-58.2=31.8
because the square in the middle means 90 degrees!
Answer:
<DEF= 31.8°
Step-by-step explanation:
Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.
In an equation:
< DEF +58.2=90
-58.2 -58.2
----------------------------
<DEF= 31.8°
An investor purchased 100 shares of stock in a company for $1,500. One year later, the investor sold all the shares for $1,750. What is the investor's rate of return?
Answer:
16 2/3%
Step-by-step explanation:
rate of return is the profit (1750 - 1500) over the original investment
250/1500 = .1666 or 16 2/3%
Answer: .1666
Step-by-step explanation:
Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary style cabinets sell for $90 and farmhouse style cabinets sell for $85. Each cabinet produced must go through carpentry, painting, and fiishing processes. The following table summarizes how much time in each process must be devoted to each style of cabinet.
Hours per process
Style Carpentry Painting Finishing
Contemporary 2.0 1.5 1.3
Farmhouse 2.5 1.0 1.2
Carpentry costs $15 per hour, painting costs $12 per hour, and fiishing costs $18 per hour, and the weekly number of hours available in the processes is 3000 in carpentry, 1500 in painting, and 1500 in fiishing. Brooklyn also has a contract that requires the company to supply one of its customers with 500 contemporary cabinets and 650 farmhouse style cabinets each week.
Let
x = the number of contemporary style cabinets produced each week
y = the number of farmhouse style cabinets produced each week
Develop the objective function, assuming that Brooklyn Cabinets wants to maximize the total weekly profit.
The objective function is maximize
Show the mathematical expression for each of the constraints on the three processes.
Hours available in carpentry: x1 + y1 ≤
Hours available in painting: x2 + y2 ≤
Hours available in fiishing: x3 + y3 ≤
Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements.
x ≥
y ≥
Answer:
See Step by step explanation
Step-by-step explanation:
Objective Function: z
x = number of contemporary style
y = number of farmhouse style
Costs
Carpentry costs:
15*2*x + 15*2,5*y = 30*x + 37,5*y
Painting costs
12*1,5*x + 12*1*y = 18*x + 12*y
Finishing costs
18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y
Total costs:
30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y
71,4*x + 71,1*y
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
z = 18,6*x + 13,9*y to maximize
Subject to:
First constraint:
Hours available in carpentry 3000
2*x + 2,5*y ≤ 3000
Second constraint
Hours available in painting 1500
1,5*x + 1*y ≤ 1500
Third constraint
Hours available in finishing 1500
1,3*x + 1,2*y ≤ 1500
Fourth constraint
Minimum quantity of contemporary style 500
x ≥ 500
Fifth constraint
Minimum quantity of farmhouse style 650
y ≥ 650
General constraints:
x ≥ 0 y ≥ 0 x , y integers
Model:
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
Subject to:
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers
The mathematical expression for each of the constraints on the three processes.
Model z = 90*x + 85*y - ( 71,4*x + 71,1*y )
Subject to
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers.
We, wants to maximize the total weekly profit.
What is the meaning of constraints?a constraint is a condition of an optimization problem that the solution must satisfy.
Objective function: z
x = number of contemporary style
y = number of farmhouse style
We have to find the cost
The carpentry costs is,
15*2*x + 15*2,5*y = 30*x + 37,5*y
The painting costs is
12*1,5*x + 12*1*y = 18*x + 12*y
The finishing costs is
18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y
Therefore the total costs is,
30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y
71,4*x + 71,1*y
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
z = 18,6*x + 13,9*y to maximize
Subject to the constraint;
The first constraint is,
The hours available in carpentry 3000
2*x + 2,5*y ≤ 3000
The second constraint is,
Hours available in painting 1500 so,
1,5*x + 1*y ≤ 1500
The third constraint is,
Hours available in finishing 1500 so,
1,3*x + 1,2*y ≤ 1500
Fourth constraint is,
The minimum quantity of contemporary style 500 so,
x ≥ 500
The fifth constraint is
The minimum quantity of farmhouse style 650 so,
y ≥ 650
The general constraints are,
x ≥ 0 y ≥ 0 x , y integers,
Therefore the Model z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize,
Subject to
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers,
To learn more about the constraint visit:
https://brainly.com/question/6073946
How do u solve this plzzzz helppp
It’s called multi step equations
Answer:
x=6
Step-by-step explanation:
7x-9=3x+15
4x-9=15
4x=24
x=6
Answer:
x=6
Step-by-step explanation:
7−9=3+15
7−9+9=3+15+9
7−3=3+24−3
4=24
x=6
2. 2x2 + 24x + 13
How do I write the following in vertex form
Answer:
y=2(x+6)^2 -59
Step-by-step explanation:
If you are able to save, $150 dollars per month-how many months will it take you to
save $2,500 dollars.
HELP ME
Answer:
16.66months
Step-by-step explanation:
2500/150
What is 191 divided by 9?
Answer:
21. 2
Step-by-step explanation:
Answer:
21.222222222222222
Step-by-step explanation:
Simplify
(4x+2)+(x-1)=
Answer:
5x+1
Step-by-step explanation:
(4x+2)+(x-1)=
Combine like terms
4x+x +2 -1
5x+1
I need some help with this